The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data

dc.contributor.authorJohnson, R.
dc.contributor.authorZampogni, L.
dc.date.accessioned2019-02-11T16:44:37Z
dc.date.available2019-02-11T16:44:37Z
dc.date.issued2014
dc.description.abstractThe Sturm-Liouville hierarchy of evolution equations was introduced in [Adv. Nonlinear Stud. 11 (2011), 555-591] and includes the Korteweg-de Vries and the Camassa-Holm hierarchies. We discuss some solutions of this hierarchy which are obtained as limits of algebro-geometric solutions. The initial data of our solutions are (generalized) reflectionless Sturm-Liouville potentials [Stoch. Dyn. 8 (2008), 413-449].uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue in honor of Anatol Kirillov and Tetsuji Miwa. The full collection is available at http://www.emis.de/journals/SIGMA/InfiniteAnalysis2013.html.uk_UA
dc.identifier.citationThe Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data / R. Johnson, L. Zampogni // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 45 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 37B55; 35Q53; 34A55; 34B24
dc.identifier.otherDOI:10.3842/SIGMA.2014.020
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146834
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleThe Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Datauk_UA
dc.typeArticleuk_UA

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